Cornelissen Germaine
Halberg Chronobiology Center, University of Minnesota, 420 Delaware Street SE, 55455 Minneapolis, MN, USA.
Theor Biol Med Model. 2014 Apr 11;11:16. doi: 10.1186/1742-4682-11-16.
A brief overview is provided of cosinor-based techniques for the analysis of time series in chronobiology. Conceived as a regression problem, the method is applicable to non-equidistant data, a major advantage. Another dividend is the feasibility of deriving confidence intervals for parameters of rhythmic components of known periods, readily drawn from the least squares procedure, stressing the importance of prior (external) information. Originally developed for the analysis of short and sparse data series, the extended cosinor has been further developed for the analysis of long time series, focusing both on rhythm detection and parameter estimation. Attention is given to the assumptions underlying the use of the cosinor and ways to determine whether they are satisfied. In particular, ways of dealing with non-stationary data are presented. Examples illustrate the use of the different cosinor-based methods, extending their application from the study of circadian rhythms to the mapping of broad time structures (chronomes).
本文简要概述了基于余弦分析的技术在时间生物学时间序列分析中的应用。该方法被视为一个回归问题,适用于非等距数据,这是其主要优势。另一个好处是能够从最小二乘法中轻松得出已知周期节律成分参数的置信区间,凸显了先验(外部)信息的重要性。扩展余弦分析最初是为分析短而稀疏的数据序列而开发的,后来进一步发展用于分析长时间序列,重点在于节律检测和参数估计。文中关注了使用余弦分析的假设以及确定这些假设是否成立的方法。特别介绍了处理非平稳数据的方法。通过实例说明了不同基于余弦分析方法的使用,将其应用范围从昼夜节律研究扩展到广泛时间结构(时间组)的映射。